Answer
Domain: $(-1,1)$
Asymptotes: $x=-1,x=1$
Local maximum: $(0,0)$
Work Step by Step
We are given the function:
$$y=\log_{10}(1-x^2).$$
Graph the function.
The domain of the function is:
$$\text{domain}=(-1,1).$$
The asymptotes are:
$$x=-1\text{ and }x=1.$$
There is a local maximum at $(0,0)$.
